Mathematics Flashcards

The following figures in comparison: 36,814 and 36,841

Answer: 36,814 and 36,841

The question asks to compare the figures 36,814 and 36,841. The correct answer simply reiterates these two figures. This implies the question might be a setup for a subsequent comparison, or it is asking to identify the numbers themselves rather than performing the comparison operation.

The following figures in comparison: 83,412 and 83,421

Answer: 83,412 < 83,421

To compare 83,412 and 83,421, we examine their place values from left to right. Both numbers share 8 in the ten thousands place, 3 in the thousands, and 4 in the hundreds. However, in the tens place, 83,412 has a 1, while 83,421 has a 2. Since 1 is less than 2, 83,412 is less than 83,421.

The following figures in comparison: 58,398 and 58,389

Answer: 58,398 > 58,389

To compare 58,398 and 58,389, we examine their digits from left to right. Both numbers share 5 in the ten thousands place, 8 in the thousands, and 3 in the hundreds. However, in the tens place, 58,398 has a 9, while 58,389 has an 8. Since 9 is greater than 8, 58,398 is greater than 58,389.

Sort the following figures from smallest to largest:

Answer: 2,150

To sort the figures from smallest to largest, we arrange them in ascending order: 99, 405, 450, 2,150, 10,000. In this sorted list, 2,150 is the fourth number. The question implicitly asks for one specific number from the sorted list, and 2,150 occupies that position.

Make use of your Magic Nines technique to find a solution. 9 x 6 is what?

Answer: 54

To solve 9 x 6, one can use basic multiplication facts. The product of 9 and 6 is 54. The 'Magic Nines technique' is a mnemonic device, often a finger trick, that helps visualize this product, where putting down the 6th finger leaves 5 fingers to the left (tens) and 4 fingers to the right (ones), resulting in 54.

Write the solution to the following issue on paper: 21 x 5 =?

Answer: 105

To solve 21 x 5, you can break down the multiplication. Multiply 20 by 5 to get 100, and then multiply 1 by 5 to get 5. Adding these results together (100 + 5) gives you the final product of 105. This demonstrates the distributive property of multiplication.

What would the problem look like if the long hand was on the number six and each number was worth five minutes?

Answer: 6 x 5

On a clock face, the long hand (minute hand) pointing to a number indicates a certain number of minutes past the hour. Since each number on the clock represents 5 minutes, and the hand is on the number six, the total minutes would be calculated by multiplying the number six by five. This represents 6 groups of 5 minutes.